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13674912 = 253181787
BaseRepresentation
bin110100001010…
…100110100000
3221201202110020
4310022212200
512000044122
61205033440
7224143356
oct64124640
927652406
1013674912
1177a0189
1246b5880
132aaa484
141b5d7d6
151301c5c
hexd0a9a0

13674912 has 48 divisors (see below), whose sum is σ = 36140832. Its totient is φ = 4527360.

The previous prime is 13674911. The next prime is 13674917. The reversal of 13674912 is 21947631.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (13674911) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16983 + ... + 17769.

It is an arithmetic number, because the mean of its divisors is an integer number (752934).

Almost surely, 213674912 is an apocalyptic number.

13674912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13674912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18070416).

13674912 is an abundant number, since it is smaller than the sum of its proper divisors (22465920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13674912 is a wasteful number, since it uses less digits than its factorization.

13674912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 973 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 13674912 is about 3697.9605189888. The cubic root of 13674912 is about 239.1341018980.

The spelling of 13674912 in words is "thirteen million, six hundred seventy-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 181 362 543 724 787 1086 1448 1574 2172 2361 2896 3148 4344 4722 5792 6296 8688 9444 12592 17376 18888 25184 37776 75552 142447 284894 427341 569788 854682 1139576 1709364 2279152 3418728 4558304 6837456 13674912